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Finding the Fourth Proportional to 106,289.34, 146,678.81 and 58,542.59

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Solution

The fourth proportional to 106,289.34, 146,678.81 and 58,542.59 is: 80,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,289.34 : 146,678.81 = 58,542.59 : x
  2. Step 2: Convert to fraction form
    106,289.34/146,678.81 = 58,542.59/x
  3. Step 3: Cross multiply
    106,289.34x = 146,678.81 × 58,542.59
  4. Step 4: Simplify right side
    106,289.34x = 8,586,956,409.41
  5. Step 5: Solve for x
    x = 8,586,956,409.41/106,289.34
  6. Step 6: Final answer
    x = 80,788.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.